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Finger [1]
3 years ago
9

A where and a cylinder have the same radius and height . The volume of the cylinder is 48 cm 3. What is the volume of the sphere

?

Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0

Given:

Sphere and cylinder have same radius and height.

Volume of the cylinder = 48 cm³

To find:

The volume of the sphere.

Solution:

Radius and height of cylinder are equal.

⇒ r = h

Volume of cylinder:

V=\pi r^2h

Substitute the given values.

48=\pi r^2r   (since r = h)

48=\pi r^3

48=3.14 \times r^3

Divide by 3.14 on both sides.

$\frac{48}{3.14} =\frac{3.14\times r^3}{3.14}

$15.28=r^3

Taking cube root on both sides, we get

2.48 = r

The radius of the cylinder is 2.48 cm.

Sphere and cylinder have same radius and height.

Volume of sphere:

$V=\frac{4}{3} \pi r^3

$V=\frac{4}{3} \times 3.14 \times (2.48)^3

V=63.85

The volume of the sphere is 63.85 cm³.

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Answer:

The distance between Marcus and Joel is approximately 127.3 feet.

Step-by-step explanation:

The distances between Jean to Joel, Jean to Marcus and Marcus to Joel form a right triangle where the distance from Marcus to Joel is the hypothenuse. We can measure the distance from Jean to Marcus and Jean to Joel by using the grid provided, since they're along the same axis. This is shown below:

d(Jean, Marcus) = Jean(x) - Marcus(x) = 100 - 10 = 90 feet

d(Jean, Joel) = Jean(y) - Joel(y) = 90 - 0 = 90 feet

We can apply the pythagora's theorem to find the distance between Marcus and Joel.

d(Marcus,Joel)² = d(Jean,Marcus)² + d(Jean,Joel)²

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The distance between Marcus and Joel is approximately 127.3 feet.

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3 years ago
84 is what percent of 105?
saul85 [17]

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84/105=0.8

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When Mya looked out at the store's parking lot, she noticed that for every 4 cars, there were 6 trucks. If there's a total of 22
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Answer:

<h2>88 cars</h2><h2>132 trucks</h2>

Step-by-step explanation:

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applying the part to whole strategy we have

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\frac{6}{10}= \frac{y}{220}  \\\\x= \frac{220*6}{10} \\\\y= 1320/10 \\\\y= 132 trucks

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